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Finding the Third Proportional to 1,750.22 and 2,772.72

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Solution

The third proportional to 1,750.22 and 2,772.72 is: 4,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.22 : 2,772.72 = 2,772.72 : x
  2. Step 2: Convert to fraction form
    1,750.22/2,772.72 = 2,772.72/x
  3. Step 3: Cross multiply
    1,750.22x = 2,772.72 × 2,772.72
  4. Step 4: Simplify right side
    1,750.22x = 7,687,969.27
  5. Step 5: Solve for x
    x = 7,687,969.27/1,750.22
  6. Step 6: Final answer
    x = 4,392.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.